On the connectedness of the branch locus of the moduli space of Riemann surfaces of low genus

DOI10.1090/S0002-9939-2011-10881-5zbMath1262.30036MaRDI QIDQ5388782

Gabriel Bartolini, Milagros Izquierdo

Publication date: 20 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

automorphism groupmoduli spacesTeichmüller modular group

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) General geometric structures on low-dimensional manifolds (57M50) Riemann surfaces; Weierstrass points; gap sequences (14H55) Families, moduli of curves (analytic) (14H15)

Related Items (13)

Geometry of the 1-skeleta of singular nerves of moduli spaces of Riemann surfaces ⋮ ON THE CONNECTEDNESS OF THE BRANCH LOCI OF NON-ORIENTABLE UNBORDERED KLEIN SURFACES OF LOW GENUS ⋮ On the structure of connected components of the moduli spaces of compact Riemann surfaces ⋮ Quadrangular \(\mathbb{Z}_p^l\)-actions on Riemann surfaces ⋮ Non-abelian simple groups act with almost all signatures ⋮ Automorphism groups of pseudo-real Riemann surfaces of low genus ⋮ On the connectedness of the branch locus of the moduli space of Riemann surfaces ⋮ A lower bound for the number of finitely maximal 𝐶_{𝑝}-actions on a compact oriented surface ⋮ Maximal group actions on compact oriented surfaces ⋮ On the connectedness of the branch loci of moduli spaces of orientable Klein surfaces ⋮ On the orbifold structure of the moduli space of Riemann surfaces of genera four and five ⋮ Connecting \(p\)-gonal loci in the compactification of moduli space ⋮ On the connectedness of the branch locus of moduli space of hyperelliptic Klein surfaces with one boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On automorphism groups of Riemann double covers of Klein surfaces
• Classifying finite group actions on surfaces of low genus
• Automorphism groups of compact Riemann surfaces of genus five
• Applications of a theorem of singerman about Fuchsian groups
• The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups
• Classification of automorphism groups, up to topological equivalence, of compact Riemann surfaces of genus 4
• On the topological types of symmetries of elliptic-hyperelliptic Riemann surfaces
• Maximal order of automorphisms of trigonal Riemann surfaces
• Finite abelian subgroups of the mapping class group
• On symmetries of compact Riemann surfaces with cyclic groups of automorphisms
• ON THE CONNECTEDNESS OF THE BRANCH LOCUS OF THE MODULI SPACE OF RIEMANN SURFACES OF GENUS 4
• ON THE CONNECTEDNESS OF THE LOCUS OF REAL ELLIPTIC-HYPERELLIPTIC RIEMANN SURFACES
• Isolated points in the branch locus of the moduli space of compact Riemann surfaces
• On the existence of connected components of dimension one in the branch locus of moduli spaces of riemann surfaces
• On the structure of the Whittaker sublocus of the moduli space of algebraic curves
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• On Branch Loci in Teichmuller Space
• Finitely Maximal Fuchsian Groups
• On the connectedness of the branch locus of the moduli space of Riemann surfaces

This page was built for publication: On the connectedness of the branch locus of the moduli space of Riemann surfaces of low genus